I use Uber for a lot of time and never used Paypal with them. They accept regular credit cards. If you think (like Stallman) that using a credit card is an intolerable invasion of your privacy, then you'd have a hard time using Uber. You would also have a hard time convincing many other people to stop using credit cards.
Since I do not have Paypal due to being banned (they never told me why) that was that...